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2205014234031 = 3473888913993
BaseRepresentation
bin100000000101100101000…
…101110001001110101111
321210210112020022000110000
4200011211011301032233
5242111332120442111
64404545231315343
7315210210512130
oct40054505611657
97723466260400
102205014234031
11780161061254
122b741a97bb53
1312cc16656c1b
1478a1a899c87
153c55676ac56
hex201651713af

2205014234031 has 20 divisors (see below), whose sum is σ = 3764468746192. Its totient is φ = 1260008133408.

The previous prime is 2205014234021. The next prime is 2205014234083. The reversal of 2205014234031 is 1304324105022.

2205014234031 is a `hidden beast` number, since 2 + 205 + 0 + 1 + 423 + 4 + 0 + 31 = 666.

It is not a de Polignac number, because 2205014234031 - 210 = 2205014233007 is a prime.

It is a super-2 number, since 2×22050142340312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2205014233986 and 2205014234004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205014234021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1944456430 + ... + 1944457563.

Almost surely, 22205014234031 is an apocalyptic number.

2205014234031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2205014234031 is a deficient number, since it is larger than the sum of its proper divisors (1559454512161).

2205014234031 is an equidigital number, since it uses as much as digits as its factorization.

2205014234031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888914012 (or 3888914003 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2205014234031 its reverse (1304324105022), we get a palindrome (3509338339053).

The spelling of 2205014234031 in words is "two trillion, two hundred five billion, fourteen million, two hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 3888913993 11666741979 27222397951 35000225937 81667193853 105000677811 245001581559 315002033433 735004744677 2205014234031